These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

There has been considerable recent interest in methods of determining sample size for qualitative research a priori, rather than through an adaptive approach such as saturation. Extending previous literature in this area, we identify four distinct approaches to determining sample size in this way: rules of thumb, conceptual models, numerical…

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

The purpose of this research is to evaluate the type and accuracy of the visual representations that the pre-service teachers generate in the pedagogical solution of the word problems. The data on participants' spatial competence levels were obtained through Purdue Spatial Visualization Test and the data on the type of visual representations were…

Verification and validation are essential aspects of mathematics and beyond in STEM, but these constructs are not consistently defined in research nor in curricula documents. In this theoretical paper, we argue that verification and validation are largely characterized as binary judgments by teachers and researchers about what students do. We then…

The new method of teaching the problems with a parameter was designed based on the identification of the reasons for the low success rate of the kids in solving the problems. In order to identify these causes and to find ways of their elimination, pedagogical research was carried out in two phases at selected universities of Slovakia (126…

Behavioral inhibition (BI) is an early-appearing temperamental trait characterized by intense negative affect and withdrawal behaviors to novel and challenging situations. Inhibited children are more likely to display social withdrawal and experience an increased risk for internalizing problems. Trait inference, the way children interpret…

This study strived to determine the effectiveness of integrative teaching of reading strategies and working memory on basic math and problem-solving skills. It is a quasi-experimental pretest-posttest study carried out on 50 second-graders from Chahashk Shandiz village in the academic year of 2020-2021 who were randomly selected by cluster…

This account of practice describes an online program started in 2022, which helps leaders at BNP Paribas to be more effective problem solvers and inclusive leaders by developing stronger questioning and listening skills. The goals of this program were aligned with action learning and could have been achieved with standard, coach-led action…

The coronavirus (COVID-19) global pandemic upended the academic trajectories and opportunities of many community college students in the United States. While four-year universities have seen an uptick in applications in the 2021-2022 academic year, community colleges have experienced a sharp decrease in enrollment, signifying significant…

Multi-exceptional children often have deficits in auditory, visual, or sensory processing. As few psychologists have training in modalities, these deficits may be misdiagnosed as AD/HD, Nonverbal Learning Disorder, Autism, Dyslexia, or a host of personality disorders. This article describes the symptoms of these processing deficits and offers…

This study represents the inaugural attempt at assessing the authenticity of the tasks encompassed in the IELTS Speaking Module. The evaluation is conducted from the vantage points of applied linguistics and general education, and serves to enhance comprehension of authenticity and authentic assessment. In order to achieve this objective, an…

A digital ethics of care (DEC) framework was initially developed with adolescents (11 to 18-years) to provide an infrastructure for understanding their digital social and emotional literacy, focusing on their ability to understand emotions and build respectful relationships online. In this study, we explore how that framework can be utilised with…

Critical Race Theory (CRT) has recently been positioned as a serious problem requiring urgent policy response among partisan media outlets. Making a case for pressing policy demands, several policy makers have proposed federal, state, and local level legislation and other measures to restrict how race, racism, or American history in general can be…